Hyper-dual matrices and dual transformations

YÜCA G., YAYLI Y.

JOURNAL OF GEOMETRY AND PHYSICS, cilt.175, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 175
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.geomphys.2022.104473
  • Dergi Adı: JOURNAL OF GEOMETRY AND PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Hyper-dual matrices, Dual transformation, Lorentzian space, Kinematics, NUMBERS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we define a dual transformation between hyper-dual orthogonal matrices and hyper-dual semi-orthogonal matrices. We show that the dual transformation leaves invariant the axes (dual lines). Thus, for the first time, we have extended the dual transformation defined by Dohi et al. to hyper-dual matrices. (C)& nbsp;2022 Elsevier B.V. All rights reserved.